Omvendt funksjonsteorem

no

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Omvendt funksjonsteorem

Quality:

Inverse function theorem - theorem that, if a function is continuously differentiable with nonzero Jacobian determinant at a given point, then it is locally invertible near that point. Article "Omvendt funksjonsteorem" in Norwegian Wikipedia has 3.3 points for quality (as of November 1, 2023). The article contains 0 references and 3 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that language version.

Since the creation of article "Omvendt funksjonsteorem", its content was written by 4 registered users of Norwegian Wikipedia and edited by 296 registered Wikipedia users in all languages.

The article is cited 1 times in Norwegian Wikipedia and cited 680 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Norwegian): #3784 in June 2013
  • Global: #24939 in June 2010

The highest popularity rank from 2008:

  • Local (Norwegian): #55737 in June 2020
  • Global: #133154 in October 2020

There are 19 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Inverse function theorem
51.4099
2Ukrainian (uk)
Теорема про обернену функцію
47.4998
3Catalan (ca)
Teorema de la funció inversa
39.7421
4Thai (th)
ทฤษฎีบทฟังก์ชันผกผัน
30.2779
5Czech (cs)
Věta o inverzní funkci
28.3007
6Chinese (zh)
反函数定理
27.3956
7Portuguese (pt)
Teorema da função inversa
21.9655
8French (fr)
Théorème d'inversion locale
19.9412
9Hebrew (he)
משפט הפונקציה ההפוכה
17.0047
10Korean (ko)
역함수 정리
16.463
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Omvendt funksjonsteorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Inverse function theorem
1 101 004
2Spanish (es)
Teorema de la función inversa
280 118
3French (fr)
Théorème d'inversion locale
125 099
4Italian (it)
Teorema della funzione inversa
92 754
5Chinese (zh)
反函数定理
77 941
6Portuguese (pt)
Teorema da função inversa
54 831
7Japanese (ja)
逆函数定理
45 901
8Russian (ru)
Теорема об обратной функции
40 496
9Korean (ko)
역함수 정리
29 832
10Hebrew (he)
משפט הפונקציה ההפוכה
21 483
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in October 2023

The most popular language versions of the article "Omvendt funksjonsteorem" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Inverse function theorem
10 360
2Spanish (es)
Teorema de la función inversa
1 089
3Chinese (zh)
反函数定理
774
4French (fr)
Théorème d'inversion locale
748
5Russian (ru)
Теорема об обратной функции
690
6Japanese (ja)
逆函数定理
426
7Korean (ko)
역함수 정리
409
8Italian (it)
Teorema della funzione inversa
378
9Portuguese (pt)
Teorema da função inversa
286
10Swedish (sv)
Inversa funktionssatsen
167
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Omvendt funksjonsteorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Inverse function theorem
94
2French (fr)
Théorème d'inversion locale
40
3Spanish (es)
Teorema de la función inversa
24
4Italian (it)
Teorema della funzione inversa
20
5Hungarian (hu)
Inverzfüggvény-tétel
18
6Portuguese (pt)
Teorema da função inversa
13
7Galician (gl)
Teorema da función inversa
11
8Catalan (ca)
Teorema de la funció inversa
9
9Japanese (ja)
逆函数定理
9
10Turkish (tr)
Ters fonksiyon teoremi
9
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in October 2023

Language versions of the article "Omvendt funksjonsteorem" with the highest AI in October 2023
#LanguageAI awardRelative AI
1English (en)
Inverse function theorem
2
2Galician (gl)
Teorema da función inversa
1
3Ukrainian (uk)
Теорема про обернену функцію
1
4Catalan (ca)
Teorema de la funció inversa
0
5Czech (cs)
Věta o inverzní funkci
0
6Spanish (es)
Teorema de la función inversa
0
7French (fr)
Théorème d'inversion locale
0
8Hebrew (he)
משפט הפונקציה ההפוכה
0
9Hungarian (hu)
Inverzfüggvény-tétel
0
10Italian (it)
Teorema della funzione inversa
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Omvendt funksjonsteorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Inverse function theorem
222
2Italian (it)
Teorema della funzione inversa
149
3Chinese (zh)
反函数定理
75
4Ukrainian (uk)
Теорема про обернену функцію
73
5Japanese (ja)
逆函数定理
58
6French (fr)
Théorème d'inversion locale
24
7Korean (ko)
역함수 정리
22
8Spanish (es)
Teorema de la función inversa
16
9Catalan (ca)
Teorema de la funció inversa
14
10Hungarian (hu)
Inverzfüggvény-tétel
6
More...

Scores

Estimated value for Wikipedia:
Norwegian:
Global:
Popularity in October 2023:
Norwegian:
Global:
Popularity in all years:
Norwegian:
Global:
Authors in October 2023:
Norwegian:
Global:
Registered authors in all years:
Norwegian:
Global:
Citations:
Norwegian:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Teorema de la funció inversa
csCzech
Věta o inverzní funkci
enEnglish
Inverse function theorem
esSpanish
Teorema de la función inversa
frFrench
Théorème d'inversion locale
glGalician
Teorema da función inversa
heHebrew
משפט הפונקציה ההפוכה
huHungarian
Inverzfüggvény-tétel
itItalian
Teorema della funzione inversa
jaJapanese
逆函数定理
koKorean
역함수 정리
noNorwegian
Omvendt funksjonsteorem
ptPortuguese
Teorema da função inversa
ruRussian
Теорема об обратной функции
svSwedish
Inversa funktionssatsen
thThai
ทฤษฎีบทฟังก์ชันผกผัน
trTurkish
Ters fonksiyon teoremi
ukUkrainian
Теорема про обернену функцію
zhChinese
反函数定理

Popularity rank trends

Best Rank Norwegian:
#55737
06.2020
Global:
#133154
10.2020

AI rank trends

Best Rank Norwegian:
#3784
06.2013
Global:
#24939
06.2010

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Inverse function theorem from Wikipedia articles about Implicit function theorem, Jacobian matrix, Inverse function, Inverse mapping theorem and Inverse functions and differentiation. Whereas reading the article about Inverse function theorem people most often go to Wikipedia articles on Implicit function theorem, Jacobian matrix, Banach fixed-point theorem, Differentiable function and Inverse function.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 25 June 2024

On 25 June 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: UEFA Euro 2024, Julian Assange, UEFA European Championship, UEFA Euro 2020, Shifty Shellshock, 2024 Copa América, WikiLeaks, YouTube, Inside Out 2, House of the Dragon.

In Norwegian Wikipedia the most popular articles on that day were: EM i fotball 2024, Åge Hareide, Julian Assange, Slovenia, Europamesterskapet i fotball for menn, Kristoffer Løkberg, Kasper Schmeichel, Saipan, Christian Eriksen, Morild.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information